Erratum: “Physical apparatus parameters and model for vibrating tube densimeters at pressures to 140 MPa and temperatures to 473 K” [Rev. Sci. Instrum. 85, 095111 (2014)]

Abstract

Unfortunately, Eqs. (26) and (27) of the original article 1 were erroneous; the correct expressions are as follows:None of the other results or conclusions of the work are affected by this revision.1

Density and Phase Behavior of the CO2 + Methylbenzene System in Wide Ranges of Temperatures and Pressures

“…The density of methybenzene was calculated from the equation of state of Lemmon and Span, which has an uncertainty of 0.05%. A and B were represented as functions of temperature and pressure, using expressions based on the physical properties of the vibrating tube, as detailed in an earlier paper. , The densimeter used for compressed-fluid density measurements was calibrated with vacuum, helium and water over the full temperature and pressure range of interest. The densities of helium and water were calculated from wide-range equations of state with uncertainties between 0.0005% and 0.05%, depending on the state point. − In this case, A and B were represented by polynomial functions of pressure and temperature. , …”

Computation of Liquid Isothermal Compressibility from Density Measurements: An Application to Toluene

“…The density data, as well as their standard uncertainties, were determined according to the method developed by Lagourette et al, whereby apparatus parameter A was assumed to be independent of pressure. In order to check if the working equation based on this assumption does not generate systematic uncertainties that will increase with pressure and that will have a significant effect in compressibility computation, the raw data for both water and toluene were used to calculate the density of toluene according to the method proposed by May et al , This second method rests on a physically based model for representing both the effect of the temperature and pressure on apparatus parameters A and B according to the following relations: where T 0 is a reference temperature chosen here to be 293.15 K, and p 0 is fixed at 0.1 MPa. A 0 , B 0 , β τ , β V , ε 1 , ε 1 , and α V are apparatus parameters.…”

“…Deviation 100­(ρ May – ρ)/ρ of the experimental density value ρ May determined with the method proposed by May et al , from the density value ρ determined from eq and reported in Table as a function of pressure p . ■, 293.15 K; ●, 313.15 K; △, 333.15 K; and −·–, combined expanded uncertainties U c (ρ).…”

Saturated-Phase Densities of (CO2 + Methylcyclohexane) at Temperatures from 298 to 448 K and Pressures up to the Critical Pressure

“…S 00 , α V , β V, τ 00 , ε τ1 , ε τ2 , and β τ are physical parameters of the vibrating-tube densimeter obtained using the calibration procedure described in our previous paper. 28,29 The two densimeters were calibrated under vacuum at all temper-atures and with water across the whole temperature and pressure ranges. Since only water and vacuum were used in the calibration, the constraint, β τ = (−β V /3.87), was included in the adjustment.…”